1200 soldiers in a fort had enough food for 28 days. After four days some soldiers were transferred to another fort and thus food lasted for an extra 32 days. how many soldiers were left in the fort?
Answers
Answer:
.Let N soldiers be remaining after some are transferred to another fort. Hence, 300 soldiers were transferred. As the number of soldiers decreases, the number of days the food lasts will increases.
correct answer is 300
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Step-by-step explanation:
Let the number of soldiers left = x
After 4 days, for 1200 soldiers the food would last for = 28-4=24 days
now we have the food that would last for 1200 soldiers= 24 days
and for 1200-x soldiers = 32 days
when the number of soldiers decrease, the food would last for more days. thus there is inverse variation between soldeirs and number of days.
therefore we get,
⇒1200×24=(1200−x)×32
⇒x=300